Multipoint Fluorescence Quenching-Time Statistics for Single Molecules with Anomalous Diffusion

Quenching Time for a Nonlocal Diffusion Problem with Large Initial Data

Multipoint correlation functions for continuous-time random walk models of anomalous diffusion.

Recursive relations are developed for computing the multipoint correlation functions of a particle undergoing a biased continuous-time random walk (CTRW) in an external potential. Two- and three-point correlation functions are calculated for waiting-time distributions with an anomalous power-law profile t(-alpha-1), 0 < alpha < 1, on intermediate time scales with a crossover to an exponential l...

quenching time for a nonlocal diffusion problem with large initial data

Enhancement and quenching of single-molecule fluorescence.

We present an experimental and theoretical study of the fluorescence rate of a single molecule as a function of its distance to a laser-irradiated gold nanoparticle. The local field enhancement leads to an increased excitation rate whereas nonradiative energy transfer to the particle leads to a decrease of the quantum yield (quenching). Because of these competing effects, previous experiments s...

Super-resolution fluorescence imaging with single molecules.

The ability to detect, image and localize single molecules optically with high spatial precision by their fluorescence enables an emergent class of super-resolution microscopy methods which have overcome the longstanding diffraction barrier for far-field light-focusing optics. Achieving spatial resolutions of 20-40nm or better in both fixed and living cells, these methods are currently being es...